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Simplifying 3 + 2(g + -5) = 10g + 9 Reorder the terms: 3 + 2(-5 + g) = 10g + 9 3 + (-5 * 2 + g * 2) = 10g + 9 3 + (-10 + 2g) = 10g + 9 Combine like terms: 3 + -10 = -7 -7 + 2g = 10g + 9 Reorder the terms: -7 + 2g = 9 + 10g Solving -7 + 2g = 9 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -7 + 2g + -10g = 9 + 10g + -10g Combine like terms: 2g + -10g = -8g -7 + -8g = 9 + 10g + -10g Combine like terms: 10g + -10g = 0 -7 + -8g = 9 + 0 -7 + -8g = 9 Add '7' to each side of the equation. -7 + 7 + -8g = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8g = 9 + 7 -8g = 9 + 7 Combine like terms: 9 + 7 = 16 -8g = 16 Divide each side by '-8'. g = -2 Simplifying g = -2
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